2225395200 has 480 divisors, whose sum is σ = 8914143744. Its totient is φ = 477757440.

The previous prime is 2225395189. The next prime is 2225395259. The reversal of 2225395200 is 25935222.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×2225395200³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4569357 + ... + 4569843.

Almost surely, 2^2225395200 is an apocalyptic number.

2225395200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457071872).

2225395200 is an abundant number, since it is smaller than the sum of its proper divisors (6688748544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2225395200 is a wasteful number, since it uses less digits than its factorization.

2225395200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 2225395200 is about 47174.0945859059. The cubic root of 2225395200 is about 1305.5766744199.

The spelling of 2225395200 in words is "two billion, two hundred twenty-five million, three hundred ninety-five thousand, two hundred".